222002112112000 has 768 divisors, whose sum is σ = 630666361765440. Its totient is φ = 77068738560000.

The previous prime is 222002112111953. The next prime is 222002112112013. The reversal of 222002112112000 is 211211200222.

It is a happy number.

It is a super-3 number, since 3×222002112112000³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55210669990 + ... + 55210674010.

Almost surely, 2^{222002112112000} is an apocalyptic number.

222002112112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222002112112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315333180882720).

222002112112000 is an abundant number, since it is smaller than the sum of its proper divisors (408664249653440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222002112112000 is a wasteful number, since it uses less digits than its factorization.

222002112112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4700 (or 4655 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222002112112000 its reverse (211211200222), we get a palindrome (222213323312222).

The spelling of 222002112112000 in words is "two hundred twenty-two trillion, two billion, one hundred twelve million, one hundred twelve thousand".